Abstract
The problem of estimating the similarity of surfaces represented as point clouds is studied. An approach is suggested to the comparison of such surfaces based on the surface approximation by piecewise-linear functions of two variables in the Delaunay triangulations. The approach is based on the developed algorithm for comparison of the functions of two variables specified on various irregular sets of points. Possible applications of this algorithm were considered such as the problems of 3D portraits comparison, e.g., problems of estimation of facial asymmetry and dynamics of lower jaw movements on the basis of a 3D video sequence of models. The performed experiments confirmed the correctness, validity, and computational efficiency of the proposed algorithm.
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